Bøker av Franck Leprevost

Statistics, game theory, economic models, electronic circuits, image processing, computer graphics, quantum mechanics, cryptology, control systems, deep learning, neural networks: all, and many more, make use of matrices and linear algebra. But what are matrices? How to compute with them? How to use them? Assuming almost no prior knowledge in mathematics beyond what is taught at elementary school, students (of computer science, engineering, life science, economics, finance, mathematics, etc.) are introduced stepwise to matrices via such concrete questions. The learning-by-doing approach, the focus on computation, and the emphasis on practice taken in this self-contained book aim not only at teaching students how to address these issues efficiently. Foremost, their "raison d'être" is to allow students to understand what they do, and why.The author presents in a very clear way some of the most relevant algorithms in linear algebra. While literature and pictural art punctuate its chapters, this elegantly written book shows that order matters in the universe of matrices.

This book takes up the challenge to equip first year students in computer science, engineering, life science or mathematics with the algorithmic mindset needed in their studies, and in many aspects of their lives, while assuming almost no prior knowledge in mathematics beyond what is taught at elementary school. Students of other programs, and actually anyone interested in understanding how to think as a problem-solver, will benefit from this tutorial and its extensive list of solved exercises. A problem-solver needs a problem to tackle. Contemporary online banking, secure company and state communication, e-commerce, private communication in today's cyberworld: all crucially rely on prime numbers. But how to check whether a number is prime or not? How to perform this test in a couple of seconds for an integer larger than the number of particles in the observable universe? How to assess the balance between speed and risk? The author uses this problem as a pretext to present in a very clear way some of the most relevant algorithms in the mathematics of computation and in computer science. While literature and pictural art punctuate its chapters, this elegantly written book goes beyond. It guides the novice to assess orders of magnitude, to think algorithmically, and to make sound decisions despite partial information.

Why is the square root of 5 approximately equal to 2.2360679774? How to compute the height of a tree without climbing on it? How to assess the surface of your flat? How to compute the sum of all integers from 0 until the year of your birth in 3 operations, and less than 2 seconds? Why and how are the two main words of this book introducing in a very clear and visual way some of the main concepts and relevant techniques used in calculus. Conceived for first year students in computer science, engineering, mathematics, life science, economy, finance, management or law, this new hands-on tutorial, taking advantage of more than 30 years of practice at universities worldwide, adopts a step-by-step approach, supported by hundreds of examples, and solved exercises.

Since the publication of the first Shanghai ranking in 2003, the international rankings of universities have become evermore important. This book examines the evolution of higher education systems and the role of universities in contemporary societies, which are marked by increased competition and tensions.Investigating whether the dynamism of large universities is an accurate indicator of the intellectual life of their civilizations, Universities and Civilizations systematically analyzes the evolution of universities in several main rankings, from their creation until now. This analysis shows the rise of universities in China and parts of Europe, the decline of American and Japanese universities and the scant presence of universities in Russia, India, Africa and Latin America.This book suggests an overhaul of traditional models of academic cooperation and exchange in an era of growing international tensions and a time when people and knowledge are increasingly mobile.